White balance / color matching between video/render for vfx shots
Trying to match the placement, intensity and quality of the light sources is a good start. As for the color temperature, if the white balance was compensated in the camera for the original footage, then the white point for the scene is already in a different place, so you no longer need the original color temperature. Your light sources in blender should be achromatic (without color, or "neutral"). 

The crucial piece of information you need is: What color space is the original footage using? How is the scene encoded (Log, Linear? Is there a gamma correction baked into the footage?)

Blender generates scene referred data, so your video sources should be converted to the same kind of information. Make sure that you are converting the source from display referred data to the proper scene referred values to be used in blender's compositor.. In other words you need to make sure you are not mixing apples and oranges.

Once the data is in linear, scene referred values, you can use the CDL node in the compositor to match color, brightness, etc. 

I would advise to stay away from curves in the color management section. It will open a new can of worms that might distort the results.